Theorems · Definition · functional analysis

DoubleCentralizer.coeHom

{𝕜 : Type u_1} →
  {A : Type u_2} →
    [inst : NontriviallyNormedField 𝕜] →
      [inst_1 : NonUnitalNormedRing A] →
        [inst_2 : NormedSpace 𝕜 A] →
          [inst_3 : SMulCommClass 𝕜 A A] →
            [inst_4 : IsScalarTower 𝕜 A A] →
              [inst_5 : StarRing 𝕜] →
                [inst_6 : StarRing A] →
                  [inst_7 : StarModule 𝕜 A] → [inst_8 : NormedStarGroup A] → A →⋆ₙₐ[𝕜] DoubleCentralizer 𝕜 A

The coercion of an algebra into its multiplier algebra as a non-unital star algebra homomorphism.

Defined in

Mathlib.Analysis.CStarAlgebra.Multiplier

Cited by

1 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNonUnitalNormedRingNormedSpaceSMulCommClassIsScalarTowerStarRingStarRingStarModuleNormedStarGroup